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Finding the Fourth Proportional to 101,748.51, 140,420.16 and 56,430.83

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Solution

The fourth proportional to 101,748.51, 140,420.16 and 56,430.83 is: 77,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,748.51 : 140,420.16 = 56,430.83 : x
  2. Step 2: Convert to fraction form
    101,748.51/140,420.16 = 56,430.83/x
  3. Step 3: Cross multiply
    101,748.51x = 140,420.16 × 56,430.83
  4. Step 4: Simplify right side
    101,748.51x = 7,924,025,475.43
  5. Step 5: Solve for x
    x = 7,924,025,475.43/101,748.51
  6. Step 6: Final answer
    x = 77,878.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.